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Department of Mathematics, Kalyan Mahavidyalaya
CHANG, SHIN SEN,PATHAK, HEMANT KUMAR,CHO, YEOL JE,JUNG, JONG SOO 東亞大學校附設基礎科學硏究所 1997 基礎科學硏究論文集 Vol.14 No.1
The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented in this paper generalized some recent results.
Cho, Yeol Je,Chang, Shih-sen,Jung, Jong Soo,Kang, Shin Min 東亞大學校附設基礎科學硏究所 1997 基礎科學硏究論文集 Vol.14 No.1
In this paper, we establish a coincidence theorem for set-valued mappings in fuzzy metric spaces with a view to generalizing Downing-Kirk's fixed point theorem in metric spaces. As consequences, we obtain Caristi's coincidence theorem for set-valued mappings and a more general type of Ekeland's variational principle in fuzzy metric spaces. Further, we also give a direct simple proof of the equivalence between these two theorems in fuzzy metric spaces. Some applications of these results to probabilistic metric spaces are presented.